Finding the Third Proportional to 32,045 and 69,498

Step by Step Solution

1. Step 1: Write the proportion equation
   32,045 : 69,498 = 69,498 : x
2. Step 2: Convert to fraction form
   32,045/69,498 = 69,498/x
3. Step 3: Cross multiply
   32,045x = 69,498 × 69,498
4. Step 4: Simplify right side
   32,045x = 4,829,972,004
5. Step 5: Solve for x
   x = 4,829,972,004/32,045
6. Step 6: Final answer
   x = 150,724.67